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Finding the Third Proportional to 94,274 and 146,355

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Solution

The third proportional to 94,274 and 146,355 is: 227,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,274 : 146,355 = 146,355 : x
  2. Step 2: Convert to fraction form
    94,274/146,355 = 146,355/x
  3. Step 3: Cross multiply
    94,274x = 146,355 × 146,355
  4. Step 4: Simplify right side
    94,274x = 21,419,786,025
  5. Step 5: Solve for x
    x = 21,419,786,025/94,274
  6. Step 6: Final answer
    x = 227,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.